Finding the Third Proportional to 2,285.72 and 3,636.46

Step by Step Solution

1. Step 1: Write the proportion equation
   2,285.72 : 3,636.46 = 3,636.46 : x
2. Step 2: Convert to fraction form
   2,285.72/3,636.46 = 3,636.46/x
3. Step 3: Cross multiply
   2,285.72x = 3,636.46 × 3,636.46
4. Step 4: Simplify right side
   2,285.72x = 13,223,819.74
5. Step 5: Solve for x
   x = 13,223,819.74/2,285.72
6. Step 6: Final answer
   x = 5,785.41